Partial Integrals in Anisotropic Lebesgue Spaces. II: Multidimensional Case

被引：0

作者：

Lyakhov L.N. ^{[1
]}

Inozemtsev A.I. ^{[2
]}

机构：

[1] Voronezh State University 1, Universitetskaya pl., Voronezh

[2] Lipetsk State Pedagogical University 42, Lenina St, Lipetsk

来源：

Journal of Mathematical Sciences | 2020年 / 247卷 / 6期

关键词：

D O I：

10.1007/s10958-020-04845-7

中图分类号：

学科分类号：

摘要：

We consider linear integral operators with multidimensional partial integrals in anisotropic Lebesgue spaces Lr(D) of functions defined in a finite parallelepiped D in the Euclidean spaces ℝn, where n ≥ 3. We obtain conditions on kernels of partial integrals and connections between multiindices r and p guaranteeing the boundedness of the partial integrals acting from Lr(D) to Lp(D). © 2020, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：893 / 899

页数：6

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